Twist-3 Distribute Amplitude of the Pion in QCD Sum Rules

Details Twist-3 Distribute Amplitude of the Pion in QCD Sum Rules Twist-3 Distribute Amplitude of the Pion in QCD Sum Rules

2004-02-10

arxiv.org/abs/hep-ph/0402100v2

Phys.Rev. D70 (2004) 014013

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 3 figures

Scientific paper

10.1103/PhysRevD.70.014013

We apply the background field method to calculate the moments of the pion two-particles twist-3 distribution amplitude (DA) $\phi_p(\xi)$ in QCD sum rules. In this paper,we do not use the equation of motion for the quarks inside the pion since they are not on shell and introduce a new parameter $m_0^p$ to be determined. We get the parameter $m_0^p\approx1.30GeV$ in this approach. If assuming the expansion of $\phi_p(\xi)$ in the series in Gegenbauer polynomials $C_n^{1/2}(\xi)$, one can obtain its approximate expression which can be determined by its first few moments.

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